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Simplifying 30 = -8u + 5(u + 3) Reorder the terms: 30 = -8u + 5(3 + u) 30 = -8u + (3 * 5 + u * 5) 30 = -8u + (15 + 5u) Reorder the terms: 30 = 15 + -8u + 5u Combine like terms: -8u + 5u = -3u 30 = 15 + -3u Solving 30 = 15 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 30 + 3u = 15 + -3u + 3u Combine like terms: -3u + 3u = 0 30 + 3u = 15 + 0 30 + 3u = 15 Add '-30' to each side of the equation. 30 + -30 + 3u = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 3u = 15 + -30 3u = 15 + -30 Combine like terms: 15 + -30 = -15 3u = -15 Divide each side by '3'. u = -5 Simplifying u = -5
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